Question Use the following information to answer question1-4.

04 Jun Question Use the following information to answer question1-4.

Question
Use the following information to answer question1-4.

Reviewing her performance on her last ten (10) three foot putts, Lisa see the following pattern:

Make, Make, Miss, Make, Miss, Make, Make, Make, Miss

1. Enter a one?1?for every make and zero (0) for every miss. What is the mean of this sample of putts?

a. 3/5

b. b. 7/10

c. c. 3/2

d. d. 1/2

e. e. 3/1

2. What is the conditional probability of a make on a put following a miss?

a. 2/3

b. 1/10

c. 1/2

d. 1/5

e. 4/5

3. What is the conditional probability that Lisa made the putt given that she made the two previous putts?

a. 0

b. 1/3

c. 2/5

d. 1

e. 2/3

4. How many runs are there?

a. 3

b. 5

c. 6

d. 10

e. 4

Frustrated with her performance. Lisa practices 100 putts. She calculates 42 runs. The W-W runs test gives the following information.

Expected number of Runs:49; sd; 4.7737; z-score=-1.4664

5. At the 5% level of significance, which of the following is true?

a. The number of runs is not significantly different from the expected number of runs.

b. The number of runs is significantly less than the expected number of runs.

c. The number of runs is not significantly different from zero

d. The number of runs is significantly less than zero

e. The number of runs is significantly greater than the expected umber of runs.

6. Does the data provide evidence that Lisa has a hot hand?

a. Yes, because the number of runs is significantly less than the expected number of runs.

b. Yes, because the number of runs is significantly greater than the expected number of runs.

c. No, because the number of runs is significantly less than the expected number of runs.

d. No, because the number of runs is significantly greater than the expected number of runs.

e. No, because the number of runs is not significantly different than the expected number of runs.

7. The z-score means that the number of runs is roughly

a. 1.4664 standard deviations below the expected number of runs.

b. About 1.47% percent likely to be significantly different from the expected number of runs.

c. 1.4664 more than the expected number of runs.

d. 1.4664 standard deviations above the expected number of runs.

e. 1.4664 less than the expected number of runs.

Lisa is also worried about her consistency on the golf course. She thinks that she has “ post-birdie syndrome”. This condition shows up on the hole following a birdie (one under par on a golf hole). She thinks that she becomes overconfident and score worse ( remeber that in golf, a higher score is worse!) Like a good economist, she has gathered data to test her theory.

Score par or below Score above par

(success) ( failure)

Hole following a birdie 11 22

Hole not following a birdie 62 54

8. What test should she perform to determine whether she has post-birdie syndrome?

a. Multiple Regression

b. Standard Deviation test